In Cartesian coordinates, the region (call it ) is the set
In the plane , we have
which is a circle with radius . Then we can better describe the solid by
so that the volume is
While doable, it's easier to compute the volume in cylindrical coordinates.
Then we can describe in cylindrical coordinates by
so that the volume is
Answer:
x = 6.5cm
Step-by-step explanation
Assuming that you know the abbreviation SOH CAH TOA, you can solve this easily
What we need to find is x, which is the adjacent (A) side. The other value given is the hypotenuse (H), 13cm. We will see that given A and H, we can use cosine .
cos(60) = x / 13 (remember: cos(angle) = A / H)
Multiply 13 to the other side to get x by itself,
13cos(60) = x
x = 13cos(60)
= 6.5
Hope this helps!
9514 1404 393
Answer:
B
Step-by-step explanation:
In order for the matrix to represent the equations, the coefficients in the equations need to match the terms in the matrix. That is only the case for choice B.
__
Details are important in math.
Answer:
0.25 decimal
1/4 decimal
Step-by-step explanation:
Answer: 45
Step-by-step explanation:
Harsh is part of a school cricket team, and he has scored an average of 46 runs in 5 innings. His scores in 4 of them are 46,45, 39, and 55. His fifth score is calculated as follows:
Since he made 5 innings and has an average of 46, the total scores will be:
= 46 × 5
= 230
Total of his first 4 scores will be:
= 46 + 45 + 39 + 55
= 185
5th score = 230 - 185
= 45